Question

what did the tennessee valley authority (tva) and the public works administration (pwa) have in common?
they both focused on reforestation and land restoration.
they were both government - run construction programs.
they both provided government support for labor unions.
they were created to provide electricity in rural areas.

Explanation:

The Tennessee Valley Authority (TVA) was a government - run program that built dams, power plants, and carried out flood control and reforestation projects in the Tennessee Valley. The Public Works Administration (PWA) was a New Deal agency that funded the construction of public works (such as buildings, roads, bridges) across the United States. Both were government - run construction programs.
The Civilian Conservation Corps (CCC) focused more on reforestation and land restoration. There is no direct connection of these two agencies to providing government support for labor unions. Only the TVA was specifically involved in providing electricity in rural areas (through its dam - building and power - generation projects), while the PWA had a broader construction scope beyond rural electricity provision.

Answer:

They were both government - run construction programs.